scholarly journals Relative roles of multiple scattering and Fresnel diffraction in the imaging of small molecules using electrons, Part II: Differential Holographic Tomography

2021 ◽  
pp. 113311
Author(s):  
T.E. Gureyev ◽  
H.M. Quiney ◽  
A. Kozlov ◽  
D.M. Paganin ◽  
G. Schmalz ◽  
...  

The scattering equations for two-component fluids are formulated so that individual scattering processes take place in vacuo. A gauge transformation is made which transforms these processes to ones taking place in a medium of refractive index m. Certain previously controversial factors apparently associated with the internal field are thereby isolated and shown to be multiple scattering terms. The formulae for the scattered intensity and turbidity of a two-component fluid of small molecules are calculated by an entirely molecular argument; they agree with the forms usually quoted as Einstein’s formulae except that the additional term reported previously is confirmed. It is conjected that a very precise identity exists between the phenomenological and molecular treatments of scattering when multiple scattering is properly included. It is shown that the concept of an excess molecular polarizability in a two-component system of small molecules is valid only up to an approximation of single scattering: but the concept of excess scattering remains valid in the multiple scattering theory of such systems. It is also shown that without additional assumptions both these concepts cease to be valid even in the single scattering approximation when the solute molecules are large. These assumptions amount to a ‘uniform distribution’ (in a sense here specified) of the solvent round the solute in regions of radius of the order of iA: they can be interpreted as hydration (or solvation) conditions. From a crude model of a macromolecular solution it is suggested that the Debye corrections which derive from a finite molecular size to estimates of molecular weights determined by light scattering, could be in error by as much as 100% (~ 5% of molecular weights) or perhaps even more: estimates of molecular size by dissymmetry can also be in similar error. For a given solute, both these and the molecular weight corrections should vary from solvent to solvent. As this has not been reported experimentally, solutions of large molecules may satisfy the hydration conditions which are indeed shown to be both necessary and sufficient for the formal reduction of the scattering equations to Debye’s form. It may therefore, be possible to use light scattering to investigate the state of hydration of such molecules in a solvent and to investigate the three two-particle correlation functions of such systems.


1973 ◽  
Vol 62 ◽  
pp. 365-380 ◽  
Author(s):  
B. Schürmann ◽  
W.E. Frahn

Author(s):  
S. Golladay

The theory of multiple scattering has been worked out by Groves and comparisons have been made between predicted and observed signals for thick specimens observed in a STEM under conditions where phase contrast effects are unimportant. Independent measurements of the collection efficiencies of the two STEM detectors, calculations of the ratio σe/σi = R, where σe, σi are the total cross sections for elastic and inelastic scattering respectively, and a model of the unknown mass distribution are needed for these comparisons. In this paper an extension of this work will be described which allows the determination of the required efficiencies, R, and the unknown mass distribution from the data without additional measurements or models. Essential to the analysis is the fact that in a STEM two or more signal measurements can be made simultaneously at each image point.


Author(s):  
Y. Harada ◽  
T. Goto ◽  
H. Koike ◽  
T. Someya

Since phase contrasts of STEM images, that is, Fresnel diffraction fringes or lattice images, manifest themselves in field emission scanning microscopy, the mechanism for image formation in the STEM mode has been investigated and compared with that in CTEM mode, resulting in the theory of reciprocity. It reveals that contrast in STEM images exhibits the same properties as contrast in CTEM images. However, it appears that the validity of the reciprocity theory, especially on the details of phase contrast, has not yet been fully proven by the experiments. In this work, we shall investigate the phase contrast images obtained in both the STEM and CTEM modes of a field emission microscope (100kV), and evaluate the validity of the reciprocity theory by comparing the experimental results.


Author(s):  
C P Scott ◽  
A J Craven ◽  
C J Gilmore ◽  
A W Bowen

The normal method of background subtraction in quantitative EELS analysis involves fitting an expression of the form I=AE-r to an energy window preceding the edge of interest; E is energy loss, A and r are fitting parameters. The calculated fit is then extrapolated under the edge, allowing the required signal to be extracted. In the case where the characteristic energy loss is small (E < 100eV), the background does not approximate to this simple form. One cause of this is multiple scattering. Even if the effects of multiple scattering are removed by deconvolution, it is not clear that the background from the recovered single scattering distribution follows this simple form, and, in any case, deconvolution can introduce artefacts.The above difficulties are particularly severe in the case of Al-Li alloys, where the Li K edge at ~52eV overlaps the Al L2,3 edge at ~72eV, and sharp plasmon peaks occur at intervals of ~15eV in the low loss region. An alternative background fitting technique, based on the work of Zanchi et al, has been tested on spectra taken from pure Al films, with a view to extending the analysis to Al-Li alloys.


Author(s):  
E. J. Kirkland

In a STEM an electron beam is focused into a small probe on the specimen. This probe is raster scanned across the specimen to form an image from the electrons transmitted through the specimen. The objective lens is positioned before the specimen instead of after the specimen as in a CTEM. Because the probe is focused and scanned before the specimen, accurate annular dark field (ADF) STEM image simulation is more difficult than CTEM simulation. Instead of an incident uniform plane wave, ADF-STEM simulation starts with a probe wavefunction focused at a specified position on the specimen. The wavefunction is then propagated through the specimen one atomic layer (or slice) at a time with Fresnel diffraction between slices using the multislice method. After passing through the specimen the wavefunction is diffracted onto the detector. The ADF signal for one position of the probe is formed by integrating all electrons scattered outside of an inner angle large compared with the objective aperture.


Author(s):  
Ji-da Dai ◽  
M. Joseph Costello ◽  
Lawrence I. Gilbert

Insect molting and metamorphosis are elicited by a class of polyhydroxylated steroids, ecdysteroids, that originate in the prothoracic glands (PGs). Prothoracicotropic hormone stimulation of steroidogenesis by the PGs at the cellular level involves both calcium and cAMP. Cell-to-cell communication mediated by gap junctions may play a key role in regulating signal transduction by controlling the transmission of small molecules and ions between adjacent cells. This is the first report of gap junctions in the PGs, the evidence obtained by means of SEM, thin sections and freeze-fracture replicas.


Author(s):  
H.B. Pollard ◽  
C.E. Creutz ◽  
C.J. Pazoles ◽  
J.H. Scott

Exocytosis is a general concept describing secretion of enzymes, hormones and transmitters that are otherwise sequestered in intracellular granules. Chemical evidence for this concept was first gathered from studies on chromaffin cells in perfused adrenal glands, in which it was found that granule contents, including both large protein and small molecules such as adrenaline and ATP, were released together while the granule membrane was retained in the cell. A number of exhaustive reviews of this early work have been published and are summarized in Reference 1. The critical experiments demonstrating the importance of extracellular calcium for exocytosis per se were also first performed in this system (2,3), further indicating the substantial service given by chromaffin cells to those interested in secretory phenomena over the years.


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